What Are New York's Liability Coverage Requirements? If you are injured in a motor vehicle accident, file a written notice of claim with the No-Fault insurer that identify the injured person(s).If you are involved in a car accident in New York, and the other driver does not have insurance, we are here to help you through the legal process. What to do when you get in a crash (accident), how to file a motorist crash report and get a copy of your report. For insurance purposes, a Report of Motor Vehicle Accident should be filed with the Department of Motor Vehicles. This form can be found online at dmv. Involved in an accident with an uninsured motorist? No automobile liability policy or motor vehicle liability policy shall be issued or delivered in this state to the owner of such vehicle. The insurance claim that a person injured in a motor vehicle crash files with the negligent driver's insurer is commonly referred to as a third-party claim. Car accidents can be incredibly stressful and disruptive events, often leaving victims with physical injuries, emotional trauma, and financial burdens.